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# geometry

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CAT is an equilateral triangle.  FInd x and AT.

Mar 20, 2021

#1
+554
+3

Im rusty in geo so im giving my best shot

An equalateral triangle means everything by sides and degrees are equal in each other.

The given degrees is (3x-33). Knowing its an equaliteral triangle that add up to 180 in degrees, you can add them up and set them to 180.

it will look something like this : (3x-33)+(3x-33)+(3x-33)=180

simplify: 9x-99=180

x=31

plugging that in, you know for sure that its correct since all three angles add up to 180.

This x value will be what we need to solve the sides and furthermore AT.

You already know x and that the sides equal to each other so you can just plug in to the given of 9x+69.

which gives line AT=348

hope this helped, and if im wrong, someone please back me up

Mar 20, 2021

#1
+554
+3

Im rusty in geo so im giving my best shot

An equalateral triangle means everything by sides and degrees are equal in each other.

The given degrees is (3x-33). Knowing its an equaliteral triangle that add up to 180 in degrees, you can add them up and set them to 180.

it will look something like this : (3x-33)+(3x-33)+(3x-33)=180

simplify: 9x-99=180

x=31

plugging that in, you know for sure that its correct since all three angles add up to 180.

This x value will be what we need to solve the sides and furthermore AT.

You already know x and that the sides equal to each other so you can just plug in to the given of 9x+69.

which gives line AT=348

hope this helped, and if im wrong, someone please back me up

xxJenny1213xx Mar 20, 2021
#2
+121003
+1

Good job, Jenny !!!

CPhill  Mar 20, 2021